Find the LCM of 300, 624, 144, 721, 911 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 300, 624, 144, 721, 911. So, keep reading to learn more.
Given numbers are 300,624,144,721,911
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,624,144,721,911 is 30739690800.
Find LCM of 300,624,144,721,911 with Prime Factorization
2 | 300, 624, 144, 721, 911 |
2 | 150, 312, 72, 721, 911 |
2 | 75, 156, 36, 721, 911 |
2 | 75, 78, 18, 721, 911 |
3 | 75, 39, 9, 721, 911 |
25, 13, 3, 721, 911 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 25 x 13 x 3 x 721 x 911 = 30739690800
Therefore, the lowest common multiple of 300,624,144,721,911 is 30739690800.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
300 x 624 x 144 x 721 x 911 = 17706061900800
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
721 : 1, 7, 103, 721
911 : 1, 911
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,624,144,721,911, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
624:2x 2x 2x 2x 3x 13
144:2x 2x 2x 2x 3x 3
721:7x 103
911:911
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 17706061900800/(1x576)
LCM = 17706061900800/576
LCM = 30739690800
Thus, we can understand that the LCM of 300,624,144,721,911 is 30739690800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 300, 624, 144, 721, 911?
Answer: LCM of 300, 624, 144, 721, 911 is 30739690800.
2. How to calculate the LCM of 300, 624, 144, 721, 911?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 300, 624, 144, 721, 911.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.